The incident occurred in the Toyota Stadium parking lot during a Freedom Fest event in Frisco shortly after 8 p.m. CDT. According to the police report, Wilson backed his truck into a woman while parking at the stadium before brandishing a rifle at a man, "causing him to be in fear."
Wilson, 24, was released from Frisco Detention Center after posting $20,000 bond. The case remains under investigation, police said.
"We are aware of the situation and we are in the process of gathering information," a Cowboys spokesman said in a statement. "We will not have a comment at this time."
Wilson could be subject to discipline by the NFL under the league's personal conduct policy.
Wilson, a 2015 fourth-round pick, logged 49 tackles and 0.5 sacks over 32 appearances in two seasons.